421892 ÷ 13 
We want to divide 421892 by 13.

Advancing to step 1:
If we divide 4 by 13, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 13

Step 2:
If we divide 42 by 13, we get 3 and a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 39 from 42 and we're left with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 13

Going ahead to step 3:
13 goes into 31 2 times with a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 32.0
If we subtract 26 from 31, we get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 13

Let's proceed to step 4:
13 goes into 58 4 times with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 324.0
If we subtract 52 from 58, we get 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 13

On to step 5:
13 can be fit into 69 5 times, resulting in a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 3245.0
If we take 65 away from 69, we end up with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 13

On to step 6:
If we divide 42 by 13, we get 3 and a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 32453.0
The remainder is 3 after subtracting 39 from 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 32453.2
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
When dividing 40 by 13, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 32453.23
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 9:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 32453.23
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
If we divide 100 by 13, we get 7 and a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 32453.2307
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 11:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 32453.23076
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 12:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 32453.230769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 13:
If we divide 30 by 13, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 32453.2307692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 14:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 32453.23076923
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 32453.23076923 and a remainder of 1e-09.